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A source tells PEOPLE that Nicole Kidman is "shocked" that it appears Keith Urban has "already moved on" amid their split

The actress filed for divorce in Nashville on Tuesday, Sept. 30, one day after PEOPLE confirmed she and the country musician separated after 19 years of marriage

"Keith has not been honest," the source says, adding that Kidman wanted to save their marriage and "believed that she could"

Though Nicole Kidman was the one to file for divorce from husband Keith Urban , she wasn't ready to throw in the towel on their marriage initially, according to a source.

The Oscar winner officially filed for divorce in Nashville on Tuesday, Sept. 30, citing irreconcilable differences. A family insider tells PEOPLE that "their split is turning dramatic," as Kidman,

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